create 8 similar problems do not put answer key

1=30 max 15 (m) g=9.8 [m] / [s] 3) You are playing Dodgeball and an opponent who is standing 15 [m] away, throws a ball directly at you with an initial velocity, 30 [m]/ [s], at an angle of 5 above the horizontal at shoulder height which is abo bout 1.25 [m]. Use Ux = Vox + axt Uy = voy + ayt a) (7 pts) If you stand 1.75 [m] tall and have a reaction time of 0.25 [s], will you be able to avoid getting hit? Answer Ax = voxt + baxt2 Ay = voyt + zay+2 with just one complete sentence but you must justify your answer with calculations. Hint: In 0.25 [s], how far has the ball travelled horizontally? UX =Vox + 2ax Ax 19 = vy + 2ayAy Vox = Vo cos 0 voy = vo sin 0 0 = tan-1 b) (7 pts) When the ball finally reaches your position and assuming you were distracted the entire time and didn't move, would the ball most likely hit your upper body or lower body? You can regard upper body is a heigh greater than 0.875 [m] and lower body is a height less than 0.875 [m]. Hint: When the ball has travelled 15 [m calculate the y position of the ball and compare to 0.875 [m]. 26 c) (12 pts) Assuming the ball does hit you, at what speed does it hit you and at what angle above ground lev Hint: Find the velocity of the ball in the x and y directions when the ball has travelled 15 [m] horizontally is the magnitude of the velocity. Find the reference angle